5 citations · 8 across the 8 of their papers we have counts for
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math.CA2018
Order estimates of best orthogonal trigonometric approximations of classes of infinitely differentiable functions
Tetiana Stepanyuk
In this paper we establish exact order estimates for the best uniform orthogonal trigonometric approximations of the classes of -periodic functions, whose -derivatives b…
math.CA2018★ 5 cited
Comparison of probabilistic and deterministic point sets
Peter Grabner, Tetiana Stepanyuk
In this paper we make a comparison between certain probabilistic and deterministic point sets and show that some deterministic constructions (spherical -designs) are better or a…
math.CA2018★ 3 cited
Upper and lower estimates for numerical integration errors on spheres of arbitrary dimension
Peter Grabner, Tetiana Stepanyuk
In this paper we study the worst-case error of numerical integration on the unit sphere , , for certain spaces of continuous function…